What is the Least Common Multiple of 60214 and 60225?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 60214 and 60225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60214 and 60225, than apply into the LCM equation.

GCF(60214,60225) = 11
LCM(60214,60225) = ( 60214 × 60225) / 11
LCM(60214,60225) = 3626388150 / 11
LCM(60214,60225) = 329671650

Least Common Multiple (LCM) of 60214 and 60225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60214 and 60225. First we will calculate the prime factors of 60214 and 60225.

Prime Factorization of 60214

Prime Factorization of 60225

Now multiplying the highest exponent prime factors to calculate the LCM of 60214 and 60225.

LCM(60214,60225) = 2¹ × 7¹ × 11¹ × 17¹ × 23¹ × 3¹ × 5² × 73¹
LCM(60214,60225) = 329671650